Recent advances in cognitive psychology provide insights into thinking processes and learning behavior that can help teachers prepare students for the demands of the workplace. Studies of successful students have found that the depth of their information processing is directly related to the quality of their learning outcomes. That is, more…

Discusses several definitions of protocols, methods of protocol collection and analysis, applications in current research, and the limitations of collecting protocols as a research method. (HOD)

Some recent research findings with implications for improving mathematics instruction are reviewed in this report. The focus is on two topics: computation, in particular subtraction and estimation, and problem solving. Findings about each are listed, with references for each cited study included. Effective algorithms and strategies used by…

The document opens with an editorial comment discussing the role of mathematics in teaching and learning. Then, 13 reports related to mathematics education are abstracted and analyzed. Three of the reports deal with problem solving, and another three look at aspects of cognitive development. There are two each on mathematics instruction,…

Presented are abstracts of 18 research reports. Topics covered include: (1) The effect of a numeration learning hierarchy on mathematics attitudes in kindergarten children; (2) Children's acquisition and production of mathematical rules; (3) Preschoolers' abilities to recognize counting errors; (4) Young children's solution processes for verbal…

Mathematics education research from fourteen studies is abstracted and critiqued in this publication. Six cover aspects of instructional practice, four deal with points in learning theory, two with problem solving, and one each with calculators and sex differences. Research in mathematics education as reported in CIJE and RIE from October to…

Twelve research reports related to mathematics education are abstracted and analyzed. Three of the reports deal with aspects of learning theory, two with student characteristics, and one each with calculators, problem solving, secondary mathematics curriculum changes in Australia, sex differences, teaching methods, and tutoring strategies. The…

Abstracts and comments are presented for 11 studies. There are two each on aspects of problem solving, mathematics achievement, and estimation. The remainder cover topics related to cognitive development, cognitive processes, evaluation, numeration, and student errors. Research as reported in RIE and CIJE between July and September 1982 is also…

This "letter to teachers" suggests reasons teachers should be interested in research findings. Research findings in several areas are summarized and interpreted so that they are useful to teachers of elementary school mathematics. Among the areas that are highlighted are: (1) time allocation; (2) low achievement; (3) active teaching; (4)…

This document consists of eleven bulletins which present answers to questions about research on the teaching and content of elementary school mathematics, K-8. The bulletins are revisions of a set originally published in 1970 and revised in 1975. Specific research findings on eleven topics are cited with selected references. Titles are: (1)…

This issue contains abstracts and critical comments for 11 articles. Three articles focus on problem solving; the remainder concern understanding of the equals sign, mathematical structure, mathematical abilities, the role of language in tasks involving sets, sex differences in mathematical errors, subtraction, algorithms as schemes, and…

Cognitive theory and research are relevant to vocational education. Three theoretical perspectives underlie cognitive theory-based curriculum and instruction: information processing, knowledge structure, and social history. A review of these perspectives in vocational curriculum and instruction suggests that instruction supporting higher-level…

Twelve research reports related to mathematics education are abstracted and analyzed. Three of the reports deal with aspects of learning theory, three with topics in mathematics instruction (fractions, problem solving, and application orientation), two with aspects of computer assisted instruction, and one each with advanced placement,…

Abstracts of 11 mathematics education research studies are provided. Each abstract is accompanied by the abstractor's analysis of or comments about the study. Studies reported include: "The Importance of Spatial Visualization and Cognitive Development for Geometry Learning in Preservice Elementary Teachers"; "Classroom Ratio of High…

Problem solving is often identified as a goal of science education. What is considered problem solving varies from teacher to teacher. The ultimate goal of problem-solving education has been identified as a means of helping students develop higher-order thinking skills. This ERIC digest focuses on problem solving in secondary school science as…